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Rationalizati va rog fracti: 4/5+2radical din 6, unde " / " - linia de fractie

Răspuns :

[tex] \frac{4}{5+2 \sqrt{6}} [/tex] = [tex] \frac{ 4(5- 2\sqrt{6} )}{ 5^{2} - 2^{2}( \sqrt{6} ) ^{2} }[/tex]=[tex] \frac{20- 8\sqrt{6} }{25-24} [/tex]= 20-[tex] 8\sqrt{6} [/tex]